User:CompactStar/Letter comma notation

VERY WIP (I'll move it to the main namespace if it's finished.)

The letter comma notation (LCN) is a notation scheme developed by CompactStar for just intonation up to the 31-limit as well as regular temperaments based on it. It is based on 3-limit notation with the letters H-Y used as accidentals representing higher-limit commas (starting from H to avoid conflict with note names). Each prime limit uses 2 letters, one to ascend by a comma and one to descend by it. It bears some similarities to SKULO interval names and the Functional Just System.

Accidentals

Prime limit	Letter	Ratio	Letter	Ratio
5	H	81/80	I	80/81
7	J	64/63	K	63/64
11	L	33/32	M	32/33
13	N	1053/1024	O	1024/1053
17	P	4131/4096	Q	4096/4131
19	R	513/512	S	512/513
23	T	736/729	U	729/736
29	V	261/256	W	256/261
31	X	32/31	Y	31/32

For example, 5/4 is IM3 and 7/4 is Km7 (spoken names, if mechanical-sounding, can also be made out of these like "I-major third").

This system can also be used to notate regular temperaments (including both equal temperaments and rank-2 or higher). For example, 24edo could be notated by using 12edo notation together with L/M to denote the tempered 33/32 quartertone of 50 cents:

Notation